The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds. t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (t/s)|이 6.2 | 10.8 | 14.9 | 18.1 19.4 20.2 Step 1 We will use either Ls or Rs for the upper and lower estimates. Since the runner's speed is an increasing function, then will give the lower estimate, andR will give the upper estimate. ˇ Step 2 The sub-interval widths At for this situation are At- L--JX

Answers

Answer 1

The speed of the runner calculated by the properties of average speed is given by 33.45 feet and the upper limit is 43.45 feet in the last 3 seconds.

The first three seconds of a race saw a runner's speed rapidly grow.

The time is therefore 3 seconds.

The table provides her speed at half-second intervals.

We are aware,

Distance x Time = Speed

Similarly

Distance equals speed x time.

Δt equals 0.5 seconds

Then, the minimum distance travelled overall is equal to

0.5(0 + 6.7 + 9.2 + 14.1 + 17.5 + 19.4).

Terms are multiplied and added.

= 0.5 × 66.9

= 33.45 feet

The maximum distance travelled is equal to

0.5 (6.7 + 9.2 + 14.1 + 17.5 + 19.4 + 20)

= 0.5 × 86.9

= 43.45 feet

As a result, her maximum distance in three seconds is 43.45 feet, and her maximum distance in three seconds is 33.45 feet.

Velocity is the rate at which an item's position changes as perceived from a certain point of view and as measured by a given unit of time (for example, 60 km/h northbound).

Velocity is also the direction at which an object is travelling. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies.

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Related Questions

Suppose it takes 4 hours for a certain strain of bacteria to reproduce by dividing in half. If 45 bacteria are present o begin with the total number present after a days is f(x) = 45 - 64* Find the total number present after 1, 2 and 3 days. There will be bacteria present after 1 day, after 2 days and after 3 days.

Answers

A certain bacteria strain needs 4 hours to double its population. If in the beginning there are 45 bacteria, after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

The problem can be solved using the exponential growth model.

In the given problem, the formula for the growth model is given, that is:

f(x) = 45 (64)^(x)

Where:

f(x) = total number of bacteria present after x days

To find f(x) for 1 day, 2 days, and 3 says, substitute x = 1, x = 2, and x = 3 into the formula.

f(1) = 45 (64)¹ = 2,880

f(2) = 45 (64)² = 184,320

f(3) = 45 (64)³ = 11,796,480

Hence,

after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

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=
Find the quadratic function y = a(x-h)2 whose graph passes through the given points.
(12,-10) and (8,0)

Answers

Answer:

  y = -5/8(x -8)²

Step-by-step explanation:

You want the function of the form y = a(x -h)² that passes through the points (12, -10) and (8, 0).

Vertex form

The vertex form of the equation of a quadratic is ...

  y = a(x -h)² +k . . . . . . quadratic with vertex (h, k)

Comparing this to the given equation, we see that k=0. This means the point (8, 0) is the vertex and h = 8.

Scale factor

The value of 'a' can be found using the other point.

  (x, y) = (12, -10)

  -10 = a(12 -8)²

  -10 = 16a

  -5/8 = a . . . . . . divide by 16 and reduce the fraction

The quadratic function is y = -5/8(x -8)².

__

Additional comment

The equation can also be found using technology to do a quadratic regression with the constraint that the vertex is on the x-axis.

What is the unit rate for 9 pages in 3 hours? Which answer is correct?

(1): 1 page/3 hours

(2): 3 pages/1 hour

(3): 6 pages/1 hour

(4): 9 pages/3 hours

Answers

Answer:

(2) 3 pages in 1 hour

Step-by-step explanation: Simply dividing 9/3 we get, 3/1 by unitary method this is the right answer.

answer: 2

hope this helps

Divide and state the quotient in simplest form. ​

Answers

[tex]\cfrac{x^2-4x-45}{x+6}\div\cfrac{x^2-3x-40}{x+6}\implies \cfrac{x^2-4x-45}{~~\begin{matrix} x+6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} x+6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{x^2-3x-40} \\\\\\ \cfrac{x^2-4x-45}{x^2-3x-40}\implies \cfrac{(x-9)~~\begin{matrix} (x+5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{(x-8)~~\begin{matrix} (x+5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{x-9}{x-8}[/tex]

Find the area of the figure. 16 cm 9 cm​

Answers

the area is 144.

you get that by multiplying 16 * 9

Software companies work hard to produce software without bugs. A particular company claims that 85% of the software it produces is bug free. A random sample of size 200 showed 156 softwareprograms were bug free.
a. Calculate the mean of the sampling distribution of the sample proportion.

Answers

the sample proportion under probability has a mean sampling distribution of 82.

The population percentage is the major variable in the sampling distribution of this proportion, which has a quarter-um normal distribution. Variants include population proportion times one and population proportion divided by sample size. Additionally, we are aware that the population proportion is under the null hypothesis. 200 is the sample soil. When we enter the value of P into this calculation without normalisation, we can obtain the standing ovation as the variance's root. 025 in excess. The probability that we got a sample result of 188/58 or less is then calculated. We simply need to determine this left tail probability after that.

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suppose there are n independent trials of an experiment with k>3 mutually exclusive outcomes, where p i represents the probability of observing the ith outcome. what would be the formula of an expected count in this situation?

Answers

The probability for observing the expected count will be given by [tex]E_i = nP_i[/tex]

Consider an experiment with n independent trials and k > 3 mutually incompatible outcomes.

Where [tex]P_i[/tex] stands for the likelihood of seeing the i-th result.

Hence for the nth expected result on i will be given by multiplying the i-th probability with the expected variable n.

Hence [tex]E_i = n\times P_i[/tex]

∴ [tex]E_i = nP_i[/tex]  provides the predicted numbers for each potential outcome.

where pi is the likelihood of seeing the i-th result.

The predicted count of the i-th result is called [tex]E_i[/tex].

When two events cannot occur concurrently at the same moment, they are said to be mutually exclusive in accordance with probability theory. Or, to put it another way, discontinuous events are said to be mutually exclusive.

There is no possibility of two occurrences occurring simultaneously if they are viewed as separate events. If two events do not take place at the same time, they are said to be mutually exclusive. If a coin is tossed, the outcome will always be either head or tail; we cannot get both.

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Find an expression which represents the difference when (2x − 6) is subtracted
from (7-5) in simplest terms.

Answers

Answer:

-2x + 8

Step-by-step explanation:

(2x - 6) is subtracted from (7 - 5).

First term that into an equation.

Because our first term is being subtracted from our second one, our equation is written as:

(7 - 5) - (2x - 6).

Simplify the first term by subtracting:

7 - 5 = 2

Now simplify the second term by multiplying 2x - 6 by -1 to get them out of the parenthesis. We do this because there is a negative sign in front of it.

-1 (2x - 6)

-2x + 6

Now our equation is:

2 - 2x + 6

Combine like terms:

2 + 6 = 8

So -2x + 8

(2x - 6) subtracted from (7 - 5) is -2x+8

What’s higher -12 or -24

Answers

-12 is longer cause it closer to the positives

the following data on price ($) and the overall score for 6 stereo headphones that were tested by consumer reports were as follows. brand price ($) score bose 180 72 scullcandy 150 78 koss 96 66 phillips/o'neill 72 54 denon 72 42 jvc 48 24 a. does the t test indicate a significant relationship between price and the overall score?

Answers

There is significant relation between price and overall score.

Given that,

Following are details on the cost ($) and final rating for the six stereo headphones that Consumer Reports examined. ($) brand price Score: Bose 180, 72 Scullcandy 150, 78 Koss, 96, 54 Phillips/O'Neill, 72, 42 Denon, 48, 24.

a) t =3.54

The P value is less than 0.2

There is significant relation between price and overall score.

P value is between 0.01 and 0.025.

Because p value is less than or equal to 0.05 , we reject H₀ : β₁ is equal to zero.

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convert these unlike fractions to equivalent like fractions and add them. you must use the lcd to get the answer correct. if possible, reduce the final sum.1523

Answers

The simplest form expression for the addition of the fractions given using the lowest common multiple of the denominator is 2/3.

A fraction is a numerical value that is a part of a whole. It is evaluated by dividing a whole into a number of parts.In Mathematics, a fraction is defined as a part of the whole thing.  For example, ½ represents half of a whole number or a thing

Given the fractions :

1/4 + 5/12

The lowest common multiple of the denominator ;

A lowest common multiple of 4 and 12 = 12

1/4 + 5/12 = (3 + 5) / 12

1/4 + 5/12 = 8/12

Expressing in simplest form :

8/12 = 2/3

Therefore, the simplest form expression of the addition is 2/3

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Find the Sum.
1/6+2/3=?

Answers

Answer:

5/6

Step-by-step explanation:

1. Line up the fractions

  1/6

+ 2/3

_____

2. Find the common denominator

  1/6 x 1/1

+ 2/3 x 2/2

_____

Thus, we get:

  1/6

+ 4/6

_____

3. Add

  1/6

+ 4/6

_____

  5/6

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 5 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

5/6 which is also 0.833

Step-by-step explanation:

(The whiteboard below)

Find the length of the third. If necessary, round to the nearest tenth 18 12

Answers

Answer:

Since it appears that you are talking about a triangle, if the third side that you are looking for is the hypotenuse, then you can use the Pythagorean theorem, a^2 + b^2 = c^2. In this case, the length of the side, if it would be the hypotenuse, would be approximately 21.63.

Step-by-step explanation:

Hope this helped! :D

let g be a group of order 840, and suppose k is a subgroup of g of order 42. if h is a subgroup of g that contains k as a subgroup, what could the order of h be? explain

Answers

The order of H can be 84 , 210 or 420

One of the key theorems in abstract algebra is the Lagrange theorem. According to the Lagrange Theorem , In group theory, for any finite group say G, the order of subgroup H of group G is the divisor of the order of G. The order of the group represents the number of elements

According to the question,

Group G has order 840

Also , By Lagrange's theorem

|K| divides |H| , so order of h should be multiple of 42

|H| = 42k ------(1)  (for some k)

And , H is subgroup of G

|G| should divides |H|

=> 42k should divides 840

=> k = 840/42 = 20

Since , H is proper subgroup of G

K < 20

So, either k =2 , 5 or 10

Hence , order of H can be 84 , 210 or 421

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A tollbooth collected $900 on a day
in which a total of 1,100 cars and
trucks passed through. Cars pay a
$0.75 toll, and trucks pay a $1.25
toll. How many cars paid the toll
that day?

Answers

Using system of linear equations, the number of cars and trucks that parked are 950 and 150 respectively.

System of linear equation

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.

To solve this problem, we have to write out two equations and solve the unknown variable.

x = carsy = trucks

x + y = 1100 ...eq(i)

0.75x + 1.25y = 900 ...eq(ii)

From equ(i)

x = 1100 - y ..eq(iii)

Put eq(iii) into eq(ii)

0.75(1100 - y) + 1.25y = 900

y = 150

Put y = 150 in equation (i)

x + 150 = 1100

x = 1100 - 150

x = 950

x = 950, y = 150

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Tammy has $20 to spend at the movie theater. She spends $9.50 on a movie ticket. If the snack counter sells bags of candy for $3.50 each, how many bags of candy can Tammy buy with the money she has left?

Answers

Answer:3

Step-by-step explanation:

20-9.50=11-3.50

Answer is 3
she can buy exactly 3 bags of candy


Step by step

We know she has up to $20 to spend (y)
We know her one time ticket cost is $9.50 (b)
We know candy is $3.50 per bag (m)
We are looking for “x” the variable

We can use y intercept formula to find your rate of bags of candy she can buy

y = mx + b

20 = 3.50x + 9.50

Subtract 9.50 from both sides to isolate x

20 - 9.50 = 3.50x + 9.50 - 9.50
Combine

10.50 = 3.50x

Divide both sides by 3.50 to solve for x

10.50 / 3.50 = 3.50/3.50 x

3 = x
so she can buy exactly 3 bags of candy

g 2. the following series can be written with a shorthand form of sigma notation (a). use for loop syntax to calculate this arithmetic series: ; n

Answers

Using for loop we can get the syntax in order to calculate this arithmetic series n is A = 0.9999.

An arithmetic collection is the sum of the phrases in an mathematics collection with a specific range of phrases. Following is a easy system for locating the sum: Formula 1: If S n represents the sum of an mathematics collection with phrases.

This system calls for the values of the primary and ultimate phrases and the range of phrases. Finite Sequence- Finite sequences have countable phrases and do now no longer cross as much as infinity. An instance of a finite mathematics collection is 2, 4, 6, 8. Infinite Sequence- Infinite arithmetic collection is the collection wherein phrases cross as much as infinity.

using while

A=0; n=1; while n<=10000     A=A+(1/(n*(n+1)));     n=n+1; end A

output

A =      0.9999

using  for loop

A=0; for n=1:10000     A=A+(1/(n*(n+1))); end A

output

A = 0.9999.

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Correct Question:

The following series can be written with a shorthand form of sigma notation (A). Use while syntax to calculate this arithmetic series:

1/(1x2) + 1/(2x3) + 1/(3x4) + ... + 1/(n x (n+1)) ......1

A = ∈ 1/(n x (n+1)); n=[1:10000]

jaime is preparing for a bicycle race. his goal is to bicycle an average of at least 280280280 miles per week for 444 weeks. he bicycled 240240240 miles the first week, 310310310 miles the second week, and 320320320 miles the third week. which inequality can be used to represent the number of miles, xxx, jaime could bicycle on the 4^\text{th}4 th 4, start superscript, start text, t, h, end text, end superscript week to meet his goal?

Answers

The inequality that can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal is 240 + 310 + 320 + x ≥ 4 (280).

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other.

For the next four weeks, Jaime wants to log at least 280 miles per week on average. Jamie's objective can be graphically expressed by the inequality: T4, or alternatively T 4 if T is the total number of miles he will pedal his bicycle for four weeks (280).

The sum of the distances Jamie has covered and has yet to cover is the total number of miles Jamie will cycle during this time. Hence,  T = 240 + 310 + 320 + x. Replacing this term into the inequality T ≥ 4(280) gives 240 + 310 + 320 + x ≥ 4(280). Therefore, choice D is the correct answer.

Thus, the correct answer is  240 + 310 + 320 + x ≥ 4 (280).

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I’m wondering why my teacher marked me wrong on these two problems. Was there something in my work that was wrong?

(Just check 1 and 2)

Answers

On #1, you used the side of 18 twice.

You should have had

      [tex]\dfrac{40.5}{18}=\dfrac{49.5}{22}=\dfrac{54}{\boldsymbol{24}}[/tex]

with 24 in that last denominator.  And with 24 in the last denominator, they're all equal to 2.25.

On #2, you should have compared 90 to 40 and then 81 to 36:

    [tex]\dfrac{90}{40}=\dfrac{81}{36}[/tex]

Those are both equivalent to 9/4.

tinga says 6:8 is equivalent to 36:72. what did tina do wrong?

Answers

She might have went to high because it is not equivalent

(- 9x³-7x²-3x - 1) − (6x³ + 5x² + 2x + 2)
Find the difference

Answers

Answer:

(-15x^3 -12x^2 -5x-3)

Step-by-step explanation:

You can't add/subtract numbers that have different exponent numbers so you have to stick with the ones that have the same number

So then the coefficients would be:

x^3 : -9 - 6 = -15

x^2 : -7 -5 = -12
x: -3 -2 =-5
0: -1 - 2 = -3

Determine whether the pairs of functions in Problems 20 through 26 are linearly independent or linearly dependent on the real line. 20. f(x) = g(x) = cos? x + sinx 21. f(x)=x,8() = x+|x| 23. f(x) = xe", g(x) = |x|e" 22. f(x) = 1 + x, 8(x) = 1 + x 24. f(x) = sinx, g(x) = 1 - cos 2x 25. f(x) = e sinx, g(x) = e* cos x 26. f(x) = 2 cos x + 3 sinx, g(x) = 3 cos x - 2 sin x

Answers

The pairs of function which are linearly independent are f(x) = 2cos x + 3 sin x and g(x) = 3cox x - 2 sin x.

We need to determine the pairs of functions are linearly independent or linearly dependent on the real line

f(x) = 2cos x + 3 sin x

g(x) = 3cox x - 2 sin x

Let c₁f(x) and c₂g(x) = 0

using wornkskin method

w(f, y) = [tex]\left[\begin{array}{cc}f(x)&g(x)\\f'(x)&g'(x)\\\end{array}\right] \\\left[\begin{array}{cc}2cosx + 3sin x&3cos x - 2 sin x\\-2sin x + 3 cos x&-3sin x - 2 cos x\\\end{array}\right][/tex]

= - (2cos x + 3sin x) (3 sinx + 2 cos x) - (3cos x - 2sin x) (3cos x - 2sin x)

= - (9sin²x + 4cos² x + 12cos x sin x) + 9cos² x + 4 sin² x - 12 sin x cos x

= - (13 sin² x + 13 cos² x )

= - 13

since,

w(f , g) ≠ 0

f, g are linearly independent

Therefore, the function  f(x) = 2cos x + 3 sin x and g(x) = 3cox x - 2 sin x are linearly independent.

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which of the following expressions are equivalent to…

Answers

Answer: none of the above

Explanation: as it's - -8/-4 it means the answer is negative which none of the answers provided are so it's none of the above

2 because 2 negatives make a positive and 8/4=2

if a string of length thirteen over {a, b, c, d} is chosen at random, what is the probability that it contains at least one pair of adjacent characters that are the same? (round your answer to the nearest tenth of a percent.)

Answers

The total number of possible strings that can be chosen is 4^13, since there are 13 characters and 4 possible choices for each character, b, c, d). Now, we need to determine the number of strings that contain at least one pair of adjacent characters that are the same in this probability.

To do this, we'll consider each letter in the string and calculate the number of possible strings that contain at least one pair of adjacent characters that are the same for that letter. For the first letter in the string, there are 4 strings that contain at least one pair of adjacent characters that are the same (aa, bb, cc, dd).For the second letter in the string, there are 4 strings that contain at least one pair of adjacent characters that are the same (ab, be, cd, dc).For the third letter in the string, there are 4 strings that contain at least one pair of adjacent characters that are the same (ac, bd, ca, db.).For the fourth letter in the string, there are 4 strings that contain at least one pair of adjacent characters that are the same (ad, bc, da, cb).

We can continue this process for each letter

We get probability as 83.3%

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a store sold a case of scented candles for $ 17.85 that had been marked up 110 % what was the original price

Answers

The original Price of a case of scented candles was 8.5

What is percentage increase?

A percent increase refers to how much a percentage has gone up over time.

In order to reach this number, you would need to find the difference between the original value and the final value, subtracting to find the exact total of the decrease.

The formula for calculating Percentage increase is:

(ΔPrice/Original price) × 100

change in price (new price - original price)/original price) × 100

From the question:

Percentage increase = 110%

New price = 17.85

Original price = X

so it  we can substitute in the formula

((17.85 - X)/X) * 100 = 110%

Opening brackets

(17.85*100 - X*100)/ X =110

1785 - 100X = 110X (we balance the equation)

(we collect like terms)

1785 = 210X

to find X we divide both sides by 210

1785/210 = X

8.5

The original Price was $8.5

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7. towers a lookout tower sits on a network of struts and posts. leslie measured two angles on the tower. if m∠1=7x-7°, m∠2=4x 2°, and m∠3=2x 6°, what is m∠1?

Answers

The measure of the ∠1 for the given angles of the triangle are found as 1162/13.

Explain the angle sum property of the triangle?The internal angle of a triangle is just the angle formed by two of its sides. It is often referred to as the triangle's interior angle property. Because of this characteristic, a triangle's interior angles add up to 180 degrees.

The given angles are-

∠1 = 7x - 7.

∠2 = 4x + 2

∠3 = 2x + 6

By the angle sum property of the triangle.

∠1 + ∠2 + ∠3 = 180

Thus,

7x - 7 + 4x + 2 +  2x + 6 = 180

Simplifying,

13x = 179

x = 179/13

So, ∠1 becomes-

∠1 = 7x - 7

∠1  = 7(179/13)- 7

∠1  = 1162/13

Thus, the measure of the ∠1 for the given angles of the triangle are found as 1162/13.

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a pair of fair dice is cast. what is the probabiliy that at least one of the numbers falling uppermost is a 1, given that the sum of the numbers falling uppermost is even? a) 0.4545 b) 0.3056 c) 0.3667 d) 0.2778 e) 0.1389 f) none of the above.

Answers

The probability that at least one of them is a 1 is 0.2778 when a fair set of dice is thrown and the total of the numbers falling above them is even.

Given that,

A fair set of dice is thrown.

We have to find given that the total of the numbers falling above them is even, what is the probability that at least one of them is a 1.

We know that,

A fair set of dice is thrown.

The total of the numbers falling above them is even.

The probability that at least one of them is a 1 is

(5/36)/(8/36)

5/18

0.2778

Therefore, The probability that at least one of them is a 1 is 0.2778 when a fair set of dice is thrown and the total of the numbers falling above them is even.

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REALLY EASY!! BRAINIEST FOR THE FASTEST AND THE CORRECT ANSWER! NO NEED TO EXPLAIN! I WILL REPORT IF WRONG OR IF YOU COPIED AN ANSWER

Answers

Answer: 26%

Step-by-step explanation:

23 + 52 + 34 + 61 + 30 = 200

do 52/200 because theres 52 gumballs and times it by 100

52/200 x 100 = 26% on calculator

Oliver and his little brother made up a game using coins. They flip the coins toward a cup and receive points for everyone that makes it in. Oliver starts with 16 points, and his little brother starts with 27 points. Oliver gets 2 points for every successful shot, and his brother, since he is younger, gets 1 point for each successful shot. Eventually, the brothers will have a tied score in the game. How many additional shots will each brother have made? How many points will they both have?

Answers

Oliver and his little brother will have an additional shot of 11shots and they both have 38points

What are Simultaneous equations?

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 and 4x − 4y = 4.

Represent the number of additional shot made by the brothers as x and the common point made by both of them be y

therefore,

16+2x=y equation 1

27+x= y equation 2

subtract equation 1 from 2

11-x= 0

therefore x= 11

substitute 11 for x in equation 2

y = 27+ 11

y= 38

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f(x) = −2|x + 4|; h(x) = f(-x) describe the transformation

Answers

The vertex of the function is transformed from (-4,0) to (4,0). The expression will be transformed from f(x) = −2|x + 4| to h(-x) = -2|-x + 4|.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the absolute function is f(x) = −2|x + 4|. The transformed function is calculated as,

f(x) = −2|x + 4|

h(-x) = −2|-x + 4|

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True or FalseDetermine if the ratios are equivalent.4/5 and 15/20Group of answer choicesTrueFalse the name matilda is written repetitively like this: matildamatildamatilda...... what is the 1000th letter? consensus, majority, averaging and authority rule with discussion are all examples of what? a. modes of team action b. team leadership structures c. team leader attributes d. team report headings Classify each number according to its value. 2.1 10-4 9.2 10-4 3.4 10-5 2.1 10-3 2.8 10-7 8.3 10-5 7.2 10-5 a 50kg box is being pushed across a horizontal floor by a 100n force acting downward at a 20 degree angle from above the horizon. what is the acceleration of the box? the coefficient of friction is 0.12 Plot the points (2, -1) and (7,-1) and find the slope. a 6.0 g 6.0 g sample of carbon is burned to produce carbon dioxide. the yield from the reaction is only 60 % 60%. how much carbon dioxide was actually produced? why should pleading the fifth be bad? g how many ways are there to choose the exec board so that there is at least one masters student and one phd student? (for any of the 4 positions) how was kurtz a single man able to sucessfullyraid the villages of the inner congo and plunder their ivory a solid ball of about eight cells formed about 50 to 60 hours after fertilization is called a(n) . given a committee of 8 women and 11 men, count the number of different ways of choosing a president, a secretary, and a treasurer, if the president must be a woman and the secretary and treasurer must be men. assume no one can hold more than one office. 11.30 fcat scores and poverty. in the state of florida, elemen- tary school performance is based on the average score obtained by students on a standardized exam called the florida comprehensive assessment test (fcat). an analysis of the link between fcat scores and sociodemo- graphic factors was published in the journal of educational and behavioral statistics (spring 2004). data on average math and reading fcat scores of third graders, as well as the percentage of students below the poverty level, for a sample of 22 florida elementary schools are listed in the table on p. 629. The bottom of a swimming pool is 12 feet below the surface of the water.What is the pool's depth in feet?Enter your answer as an integer.If it is negative, enter it like this: -42 Larue buys an iPod for $150 and a new laptop for $1,200, and signs a one-year employment contract for a $4,800 monthly salary to start at the beginning of the next month. The Statute of Frauds coversa. the employment contract, and the laptop and iPod purchases.b. the employment contract and the laptop purchase only.c. the employment contract only.d. the laptop and iPod purchases only. discuss how punishment and negative reinforcement differ, and list some drawbacks of punishment as a behavior-control technique what is the probability of getting either a spade or an ace when drawing a single card from a deck of 52 cards? Solve this equation by undoingAKA solve for x2x + 8 = 26 a client informs the nurse that she is afraid of developing bladder cancer because her mother had it. she asks the nurse what signs and symptoms are present with this cancer. what does the nurse tell the client is the most common sign of bladder cancer? Which values of x are solutions to the equation below?Check all that apply.4x2-30=34A. X = 8B. X=-4C. X= 4D. X = 8E. X = -8OF. X = -8